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Finding the Third Proportional to 93,496 and 204,128

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Solution

The third proportional to 93,496 and 204,128 is: 445,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,496 : 204,128 = 204,128 : x
  2. Step 2: Convert to fraction form
    93,496/204,128 = 204,128/x
  3. Step 3: Cross multiply
    93,496x = 204,128 × 204,128
  4. Step 4: Simplify right side
    93,496x = 41,668,240,384
  5. Step 5: Solve for x
    x = 41,668,240,384/93,496
  6. Step 6: Final answer
    x = 445,668.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.